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Customers arrive at SU Cafeteria in accordance with a Poisson process with a rate of 50 per hour. The Cafeteria opens at 7:00 am. 100

Customers arrive at SU Cafeteria in accordance with a Poisson process with a rate of 50 per hour. The Cafeteria opens at 7:00 am. 100 customers have arrived before 9:00 am. Calculate the probability that only 20 customers have arrived before 7:30 am

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